1. Consider a cube with vertices at A=(0,0,0) B=(2,0,0) C=(2,2,0) D=(0,2,0) E=(0,0,2) F=(2,0,2) G=(2,2,2) H=(0,2,2)

A)Calculate the flux of the vector field

**F**=x

**i** through each face of the cube by taking the normal vectors pointing outwards.

B)Verify Gauss's divergence theorem for the cube and the vector field

**F** by computing each side of the formula.

C)Using Gauss's divergence theorem evaluate the flux

of the vector field

**F**=x

**i**+y

**j**+

**k** where S is a closed surface consisting of the cylinder

, 0<z<b and the circular disks

at z=0 and

at z=b.

I have the basics but dont know how to get an answer. My workings are attatched.